Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 6978, 6985 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6978 and 6985 is 1.
GCF(6978,6985) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6978
2 | 6978 |
3 | 3489 |
1163 | 1163 |
1 |
Prime factors of 6978 are 2,3,1163. Prime factorization of 6978 in exponential form is:
6978 = 21×31×11631
Prime Factorization of 6985
5 | 6985 |
11 | 1397 |
127 | 127 |
1 |
Prime factors of 6985 are 5,11,127. Prime factorization of 6985 in exponential form is:
6985 = 51×111×1271
∴ So by taking common prime factors GCF of 6978 and 6985 is 1
Factors of 6978
List of positive integer factors of 6978 that divides 6978 without a remainder.
1,2,3,6,1163,2326,3489,6978
Factors of 6985
List of positive integer factors of 6985 that divides 6985 without a remainder.
1,5,11,55,127,635,1397,6985
Greatest Common Factor
We found the factors and prime factorization of 6978 and 6985. The biggest common factor number is the GCF number.
So the greatest common factor 6978 and 6985 is 1.
Also check out the Least Common Multiple of 6978 and 6985
(i) The GCF of 6978 and 6985 is associative
GCF of 6978 and 6985 = GCF of 6985 and 6978
1. What is the GCF of 6978 and 6985?
Answer: GCF of 6978 and 6985 is 1.
2. What are the Factors of 6978?
Answer: Factors of 6978 are 1, 2, 3, 6, 1163, 2326, 3489, 6978. There are 8 integers that are factors of 6978. The greatest factor of 6978 is 6978.
3. What are the Factors of 6985?
Answer: Factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985. There are 8 integers that are factors of 6985. The greatest factor of 6985 is 6985.
4. How to Find the GCF of 6978 and 6985?
Answer:
Greatest Common Factor of 6978 and 6985 = 1
Step 1: Find the prime factorization of 6978
6978 = 2 x 3 x 1163
Step 2: Find the prime factorization of 6985
6985 = 5 x 11 x 127
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 6978 and 6985 is 1